I don't know if I have the right context here or not. But if your problem is not getting into a game since they fill up. Just make sure you have players off and be watchful. Join the game you want quickly before it fills up.

I had this Idea before , Obsidians could kick a stone player from a round to join a game but just Obsidians because they donated 220€ . So it would be pretty fair as Stones wouldn't get kicked too often.